9003240 has 96 divisors (see below), whose sum is σ = 29694600. Its totient is φ = 2365440.

The previous prime is 9003233. The next prime is 9003263. The reversal of 9003240 is 423009.

It can be written as a sum of positive squares in 4 ways, for example, as 6625476 + 2377764 = 2574^2 + 1542^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31900 + ... + 32180.

Almost surely, 2^9003240 is an apocalyptic number.

9003240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9003240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14847300).

9003240 is an abundant number, since it is smaller than the sum of its proper divisors (20691360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9003240 is a wasteful number, since it uses less digits than its factorization.

9003240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 9003240 is about 3000.5399514087. The cubic root of 9003240 is about 208.0333403163.

Adding to 9003240 its reverse (423009), we get a palindrome (9426249).

The spelling of 9003240 in words is "nine million, three thousand, two hundred forty".